Final answer:
Complementary angles add up to 90 degrees. To find the measure of ZS, we can set up an equation and solve for x. Then, substitute the value of x back into the equation to find mZS.
Step-by-step explanation:
Complementary angles are two angles that add up to 90 degrees. In this case, ZR and ZS are complementary angles.
We have the measure of ZR as (6x – 47)° and we need to find the measure of ZS.
Since ZR and ZS are complementary, we can write the equation:
(6x – 47)° + (x + 4)° = 90°
Combining like terms, we get:
7x – 43 = 90
Adding 43 to both sides, we get:
7x = 133
Dividing both sides by 7, we get:
x = 19
Substituting x = 19 back into the equation, we get:
mZS = (x + 4)° = (19 + 4)° = 23°
Therefore, mZS = 23°.